What is the Greatest Common Factor of 87060 and 87065?

Greatest common factor (GCF) of 87060 and 87065 is 5.

GCF(87060,87065) = 5

We will now calculate the prime factors of 87060 and 87065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87060 and 87065.

How to find the GCF of 87060 and 87065?

We will first find the prime factorization of 87060 and 87065. After we will calculate the factors of 87060 and 87065 and find the biggest common factor number .

Step-1: Prime Factorization of 87060

Prime factors of 87060 are 2, 3, 5, 1451. Prime factorization of 87060 in exponential form is:

87060 = 2² × 3¹ × 5¹ × 1451¹

Step-2: Prime Factorization of 87065

Prime factors of 87065 are 5, 11, 1583. Prime factorization of 87065 in exponential form is:

87065 = 5¹ × 11¹ × 1583¹

Step-3: Factors of 87060

List of positive integer factors of 87060 that divides 87060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1451, 2902, 4353, 5804, 7255, 8706, 14510, 17412, 21765, 29020, 43530

Step-4: Factors of 87065

List of positive integer factors of 87065 that divides 87060 without a remainder.

1, 5, 11, 55, 1583, 7915, 17413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87060 and 87065. The biggest common factor number is the GCF number.
So the greatest common factor 87060 and 87065 is 5.

Also check out the Least Common Multiple of 87060 and 87065